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Finding the Fourth Proportional to 13,995, 20,992.49 and 9,599.13

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Solution

The fourth proportional to 13,995, 20,992.49 and 9,599.13 is: 14,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995 : 20,992.49 = 9,599.13 : x
  2. Step 2: Convert to fraction form
    13,995/20,992.49 = 9,599.13/x
  3. Step 3: Cross multiply
    13,995x = 20,992.49 × 9,599.13
  4. Step 4: Simplify right side
    13,995x = 201,509,640.53
  5. Step 5: Solve for x
    x = 201,509,640.53/13,995
  6. Step 6: Final answer
    x = 14,398.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.